I believe it depends on the show and the club that's running it. They could get a lot of complaints if a male doesn't act right and people realize its due to your female. If you're in a very closed space, and this is an all-breed show you'll have a lot of people to deal with.
I know training helps but I've got obedience titles on my boy and when there is a female in heat around, he's definitely losing his head. In the show ring...its not as big of a deal, but if there is also obedience work going on, you'll hear some groveling and the club may get some complaints. When it comes to conformation...it might get my boy to pull harder and get more extension so I probably wouldn't mind lol.
Now that you added that its an AKC show...I'd watch out. AKC people are vicious about that kind of stuff.
CD RE TC HIC 7/10